Method and system for statistical filters and design of statistical filters

a statistical filter and filter technology, applied in the field of statistical filter methods and systems, can solve the problems of significant interference between the uwb device and the wireless system, the uwb system affecting the television reception of those types of systems, and the consumption of far less battery power, so as to achieve less data or signal distortion
US7536282B1Inactive Publication Date: 2009-05-19ALEREON

Patent Information

Authority / Receiving Office
US ¡ United States
Patent Type
Patents(United States)
Current Assignee / Owner
ALEREON
Publication Date
2009-05-19
Estimated Expiration
Not applicable ¡ inactive patent

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Abstract

Systems and methods for the design or implementation of statistical filters for use in the spectral shaping of transmissions are disclosed. A desired power spectrum may be mapped to find pole locations that approximate the desired spectrum. These pole locations may then be mapped to the edge or inside of an equilateral polygon lying inside a unit circle, the equilateral polygon having the same number of sides as the order of the statistical filter desired and one vertex mapped to unity, to yield a set of eigenvalues. These eigenvalues may be the eigenvalues of a stochastic matrix the elements of which may be the Markov transition probabilities for use in a statistical filter designed to achieve the desired power spectrum. Use of a statistical filter employing these Markov transition values may be utilized to shape UWB or other signals to achieve the desired power spectrum.
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Description

CROSS-REFERENCE TO RELATED APPLICATION

[0001] This application is a continuation of, and claims a benefit of priority under 35 U.S.C. 120 of the filing date of U.S. patent application Ser. No. 11 / 218,335 by inventors James L. Lansford and Shyam Sunder Uma Chander, entitled “Method and System for Statistical Filters and Design of Statistical Filters” filed on Sep. 1, 2005 now U.S. Pat. No. 7,184,938, which in turn claims the benefit of priority under 35 U.S.C. § 119 to provisional patent application No. 60 / 606,479 filed Sep. 1, 2004, the entire contents of which are hereby expressly incorporated by reference for all purposes.RELATED APPLICATIONS

[0002] This application claims a benefit of priority under 35 U.S.C. § 119(e) to U.S. Provisional Patent Application No. 60 / 606,479 by inventors Jim Lansford and Shyam Sunder Uma Chander entitled “System and Method For Pulse Shape Filtering” filed on Sep. 1, 2004, the entire contents of which are hereby expressly incorporated by reference for all...

Claims

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